stat 3 hw

# stat 3 hw - Cengiz Rahmioglu Penn ID: 37479511 STAT 101 HW...

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Cengiz Rahmioglu Penn ID: 37479511 STAT 101 HW 1. (a) Stockholders Non-stockholders Marginal Totals of Rows Very Likely 18 26 44 Somewhat Likely 41 65 106 Not Very Likely 52 68 120 Not likely at all 19 31 50 Unsure 8 13 21 Marginal Total of Columns 138 203 (b) Contingency Table Count Row % Not Likely at all Not Very Likely Somewhat Likely Unsure Very Likely Total Stockholders? No 31 15.27% 68 33.50% 65 32.02% 13 6.40% 26 12.81% 203 100% Yes 19 13.77% 52 37.68% 41 29.71% 8 5.80% 18 13.04% 138 100% Total 50 120 106 21 44 341

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Response 0.00 0.20 0.40 0.60 0.80 1.00 No Yes Stockholder? Not Likely at all Not Very Likely Somew hat Likely Unsure Very Likely Cengiz Rahmioglu Penn ID: 37479511 Mosaic Plot (d) These results make sense because this shows that after the collapse of the stock market in 1987, it was hard for everyone to predict what will happen in the future. The number of stockholders who took the poll is much smaller when compared to the number of non-stockholders. This difference may cause misleading interpretations if we don’t use percentages. The mosaic plot treats each bar as the whole and divides it proportionally into segment corresponding to the percentage in each group. The bars look almost identical and the percentages are nearly the same therefore we can say that the variables are not associated. In other words, the response of a reader doesn’t depend on whether the reader is a stockholder or not.
Retained? 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 <40 40-49 50-59 60+ Age No Yes Cengiz Rahmioglu Penn ID: 37479511 2. (a) The employee hope to find that the company discriminated based on age. In other words, they hope to find a difference in percentage retained between the conditional and marginal distributions. (b)

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## This note was uploaded on 06/22/2008 for the course STAT 101 taught by Professor Heller during the Fall '08 term at UPenn.

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stat 3 hw - Cengiz Rahmioglu Penn ID: 37479511 STAT 101 HW...

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